INDEX. Bach, J. S., 121 balance, 60 Barentz, W., 80 baroulkos, 60

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1 accretion, 103 accretion of land, 102 Age of the Sages, 128 age of the tide, 82 agonic meridians, 91 Alberti, L. B., 98 Alexander of Parma, 7 algebra, 15, 21 algebraic numbers, 23 Almagest, 71, 74 Almighty, 60 Apianus, P., 86 Apollonius, 15, 130 apparent weight, 52, 65 Appendice algebraique, 6, 35 Archimedes, 15, 43, 45, 48, 49, 51, 52, 57, 60,64,130 Archimedes' principle, 65 architecture, 113, 116, 131 Aristotle, 48, 49, 59 Arithmetic, 21 Arithmetique, 5, 21, 35 Art of Fortification, 6, 106 Art of Weighing, 48, 50 assembled secants, 86 astrolabe, 88 astronomy, 70 augmented polyhedra, 45 axle, 60 azimuthal quadrant, 90 Bach, J. S., 121 balance, 60 Barentz, W., 80 baroulkos, 60 bars, 62 bastion, 107, 109 bastional fortification, 108 Beeckman, I., 79 Beghinselen des Waterwichts, 5 Beghinselen der Weeghconst, 5 Belidor, B. F., 100 Bellerus, J., 5 Benedetti, J. B., 1,40 bit, 62 Bombelli, R., 16, 24 book-keeping, 117 Bosmans, H., 13 bottom, pressure on, 66 Bouguer, P., 69 Boyle, R., 66 bridle, 61, 62 Burgherlick Leven, 6, 123 Cardano, H., 1, 15,22,29,32,33,60 Castrametatio, 11, 110 castrametator, 11 catastrophism, 104 catholic astrolabe, 88 Catrolwicht, 57 Cats, J., 79 catten (cats) of a fortress, 108 centre of gravity, 57 centre of pressure, 68 chalinothlipsis, 62 cheeks, 62 China, 104, 121 Christoffels, J. P., 118 Civic Life, 6, 123 civic matters, 123 c1ootcrans, 5, 52, 53, plate III

2 141 comma, 121 Commandinus, F, 40,57 commencement, 24 conics, 42 consonance, 121 contrerolle, 119 Copernicus, N , 80 Cophart, F., 45 cords, equilibrium of -, 57 cossic symbolism, 24 Cray, c., 11 croix des mathematiciens, 39 cubic equation, 27 curb-chain, 62 curb-groove, 62 curtains of a fortress, 108 daet (practical activity), 130 Danzig, 101, 103 decimal fractions, 17 decimal system, 111 declination, magnetic, Dee, J., 40 de Gheyn, 104, 105, plate IV de Groot, H., 6, 91, 105 de Groot, J. C., 6, 59 Del Ferro, S., 15 Delft,S denominators, 23 de Peiresc, N., 105 Descartes, R., 23, 131 Dialectics,S Dialektike, 5 didactics, 43, 74 Diercx, A., 99 dignities, 23 Dime,S, 16. See also: Disme. Diophantus, 15, 36, 37 Disme, 38. See also: Dime. diurnal rotation of the heavens, 71 diver, 68 double-entry book-keeping, 117 Driehouckhandel, 42 Duke of Aojou, 7 dunes, 102 Dutch language, 126 Earl of Leicester, 7, 95 earth, axis, 77 revolution, 76 rotation, 71 ebb- and -flood instrument, 82 ebb circle, 81 eb- en- vloed-tuig, 82 ebrond,81 Eertclootschri[t, 83 Eighty-years' War, 6 Elements of the Art of Weighing,S Elements of Hydrostatics,S Elizabeth of England, 7 ellipse, 42 Emmius, D., 79 empirical ephemerides, 75 ephemerides, 75 epicycles, 70- epicyclic motions, 70- equal temperament, 120, 121 equations, equation of any degree, 35 Equilibrium of cords, 57 erosion, 103 ervaringsdachtafels, 75 Euclid, 15, 16, 38, 40, 43, 45, 130 evenredigheid, 128 falling bodies, 59 Ferrari, L., 15 Ferro, S. del, 15 first quantity, 23 flanking of a fortress, 108 Floating top-heaviness, 69 Fortification, 106 fossil shells, 103 friction, 59 Frisius, Gemma, 22, 86 Galilei, V., 121 Galilei, G., 60, 75, 133 Gassend, P., 105 Gemma Frisius, 22, 86 geocentric system, 71 Geography, 83 geometrical instruments, 40 geometrical numbers, 22 geometrical problems,s, 40 geometry,39

3 142 geomorphology, 102 Gheyn, J. de, 104, 105, plate IV Gilbert, W., 77, 78 God, 123, 124 great-circle sailing, 83, 84 greatest common divisor, 35 Groot, Hugo de, see Grotius. Grotius, Hugo, 6, 91, 105 Halley, 91 Haven-finding Art, 87, 88 Heavenly Motions, 74 Heemskerk, J. van, 80 Heinsius, D., 79 heliocentric system, Hemelloop, 74 Hero, 40, 61 Hiero,60 Holtzmann, W., 36 Hortensius, M., 79 house-building, 113, 115 Huygens, Chr., 54 Huygens, Const., 100 Huysbou, 132 hydraulic engineering, 100 hydrostatic paradox, 67 hydrostatic pressure, 69 Hydrostatics, 64 Hypomnemata Mathematica, 10 imaginary numbers, 30, 32 inclined plane, 60 inertial system, 77 interest, 20 irrational quantities, 16, 22, 38 Jansz, A., 99 Kepler, J., 75, 78 landchain, 40 language, 4, 126- Latin language, 127 Leicester, J., 95 Leonardo da Vinci, 2, 102, 103 lever, 50, 51 Leyden, 5, 9 Linschoten, J. H. van, 104 INDEX locks, 98 loxodrome, 84, 85 loxodromic sailing, 83, 84 Lyell, Ch., 104 magnet, 77 magnetic declination, major third, 120 Marking-out of Army Camps, 11 Materiae Politicae, 8, 12, 111 Mathematical Memoirs, 10 Mathematico-Philosophical Works, 12 mathematics, 14 Maurice of Nassau, 6, 7, 8, 42, 46, 61, 74, 75, 82, 87, 91, 105, 110, 112, 118, 125 (plate II, V) meandering rivers, 103 m. di m., 32 mechanics, 48 Meetdaet, 19, 39, 40, 41, 42, 43 Mellema, E., 118 Memoires mathematiques, 10 Mennher, V., 118 metacentre, 69 military science, 106 mills, 93- Moja, J. Perez de, 22 Molens, van de -, 96 Moleto, G., 60 mountains, 102 music, 38, 120, 131 navigation, 83 neap tide, 82 negative quantities, 22 negative roots, 33 Nemorarius, J., 49, 52 New Manner of Fortification, 11,98, 109 Newton, I., 78, 82 Nieuwe Maniere van Stercktebou, 11, 98, 101, 109 notation, Nova Zembla phenomenon, 79 Nova Zembla, 80 Nunes, P., 35, 83 oblique balance, 60 oblique forces, 54

4 143 offspring, 11 Oldenbarneveldt, J. van, 78 orbits of the planets, Oresme, N., 71 orthodrome, 84 outworks, of a fortress, 109 Pacioli, 40, 117 Pancration, 60 Pappus, 43, 45 parellelogram of forces, 55 Perez de Moja, 22 Pascal, B., 67, 69 patents, 5 p. di m., 32 peat, 102 Pegolotti, F. B., 20 Peiresc, N. de, 105 Peletier, J., 22 perken,88 perpetual motion, 53, 54 perspective, 46 Petri, N., 118 Philip II, 6, 7 Philoponus, J., 60 Pieterszoon, C., 118 Pietersz., R., 91 piles, 102 Pisano, L., 40 pivoted sluice locks, 109 Plancius, P., 87, 88, 91 planetary motions, planets, Plantijn, C., 5, 22 polygonal bastional fortress, 109 polyhedra, 43 polynomial, 23, 24 positional notation, 17 postponed quantities, 25 postposees quantitez, 25 Practice of Arithmetic, 37 Practice of Hydrostatics, 64 Practice of Weighing, 48, 59 Pratique d'arithmetique, 21, 37 Pressure of the Bridle, 61 prime quantite, 23 Prince, the, 124 principle of uniformity, 104 Problemata Geometrica, 5, 40 profitable interest, 20 proportion, 128 Ptolemy, 70, 71 pulleys, 57 Pythagorean intervals, 120, 121 quadrant, 90 quadratic equation, 27 quartermaster, 8 Ramus, P., 39, 43 ratio, 37, 38, 127 ravelins, 109 reden, 128 refraction, 80 Regiomontanus, J., 18, 19, 78 regulae, 37 regula falsi, 34, 37 religion, 124, 131 Republic of the Netherlands, 9 resistances, 59 Reynier Pietersz., 91 rhumb,83 roots of an equation, Rucellai, G., 20 rule algebra, 34, 36 rule of company, 37 rule of three, 25, 37 sailings, 83 sailing chariot, 12, 104, plate IV sand sills, 103 Sarton, G., 14 scoop-wheel, 93 scouring, 98, 99, 110 second inequality, 74 sedimentation, 103 semi-regular polyhedra, 43 sewerage, 116 sewerage system, 115 sexagesimal fractions, 17 sheet piling, 102 shoal,103 sluices, 98, 109, 110 Snellius, W., 11 solutions songees, 33 Spabijlhou, 11, 112

5 144 Speckle, Do, 107 speculation, 112, 130 spheres, heavenly, 77 spiegeling, 112, 130 Spiegeling der Singconst, 120 spilsluysen, 109 stadhouder, 7, 8, 125 Stadius, Jo, 75 Stadtholder, 7, 8, 125 staltwicht, 52, 65 steelyard, 60 Stercktenbouwing, 6, 106 Sterne, Do, 105 Stevin, Antheunis, 4 Stevin, Frederick, 11 Stevin, Hendrick, 8, 11, 12, 100, 111 Stevin, Levina, 11 Stevin, Simon, 125 appeal to authority, 132 autographs, plate V birth, 4 children, 11 death, 12 functions, 4, 6, 8, 9 life, 4 marriage, 11 patents, 5 personality, 130 portrait, plate I practical activity, 130 pronunciation of name, 13 travels, 4, 101 Stevin, Susan, 11 Stevinus, see Stevin, Simon Stife1, Mo, 16, 22, 26 Stofroersel, 102 streek, 83 strijcken, 108 surveyor's chain, 40 surveyor's cross, 40 Swanenburgh, Go, plate IV swivel-gate lock, 99, 100 syllogism, 50 symmetry, 116 Tables of Interest, 5 Tafelen van Interest, 5 Tartaglia, No, 1, 15, 22, 31, 40 INDEX technology, 93- temperament, equal, 120 theological opposition, 78 Theory of the Art of Singing, 120 theory of music, 120 Thiende, De, 38 Toomprang, 61, 131 Tonstall, Co, 22 Torricelli, Eo, 54 town-planning, 113, 115 Trenchant, Jo, 22 trepidation, 80 triangle of forces, 55 trigonometry, 42 triquetrum, 40, 41 Tsai-yii, 121 Tycho Brahe, 72, 75 uniformity, 104 Union of Utrecht, 6 Unit of commencement, 18 United Provinces, 6 unprofitable, 20 Utrecht, Union of, 6 Van Heemskerk, 80 Van Langeren, 100 Van Linschoten, 104 Van der Poort, Cathelyne, 4 Varchi, B., 60 Varenius, Bo, 103 velocities, 49 Verheyen, Ao, 122 vernacular language, 126- versaemde snijlijnen, 86 Verschaeuwing, 46 Vierlingh, Ao, 98 Vieta, Fo, I, 26 virtual displacements, 49, 57 Vita Politica, 6 Vitruvius, 116 vlackvat, 65 Vlietende Topswaerheyt, 69 Voetius, Go, 79 wallower, 95 walls, pressure on the, 68 water-mills, 92

6 145 water-scouring, 98, 99, 100 Waterwicht, 64 Waterwichtdaet, 64 Waterwichts, De Beghinselen des, 64 Weeghconst, 48, 50, 59, plate ill Weeghconst, De Beghinselen der, 48, 50, 59, plate III Werckmeister, A., 120 wheel,60 William Lewis of Nassau, 7 William the Silent, 6 windmills, 92 Wisconstighe Ghedachtenissen, 10 Wisconstich Philosophisch Bedrijf, 12 Wonder en is gheen Wonder, 54 wreath of spheres, 5, 52, 53, plate III Wright, E., 86, 87 Wijsentijt, 128 Xylander, 36, 37 zeilwagen, 12, 104, plate IV Zeno, 125 Zeylstreken, 83

Plate 1. Portrait of Simon Stevin by an unknown artist. Library of Leyden University.

Plate 1. Portrait of Simon Stevin by an unknown artist. Library of Leyden University. The renovation of the arts and sciences by the Renaissance has been especially glorious in Italy and the Netherlands. Among the outstanding scholars of that period Simon Stevin, born at Bruges and living